Universally catenarian domains of $D+M$ type
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- by David F. Anderson, David E. Dobbs, Salah Kabbaj and S. B. Mulay PDF
- Proc. Amer. Math. Soc. 104 (1988), 378-384 Request permission
Abstract:
Let $T$ be a domain of the form $K + M$, where $K$ is a field and $M$ is a maximal ideal of $T$. Let $D$ be a subring of $K$ and let $R = D + M$. It is proved that if $K$ is algebraic over $D$ and both $D$ and $T$ are universally catenarian, then $R$ is universally catenarian. The converse holds if $K$ is the quotient field of $D$. As a consequence, we construct for each $n > 2$, an $n$-dimensional universally catenarian domain which does not belong to any previously known class of universally catenarian domains.References
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Additional Information
- © Copyright 1988 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 104 (1988), 378-384
- MSC: Primary 13C15; Secondary 13G05
- DOI: https://doi.org/10.1090/S0002-9939-1988-0962802-7
- MathSciNet review: 962802